[go: up one dir, main page]

Search a number
-
+
12645666 = 2331161349
BaseRepresentation
bin110000001111…
…010100100010
3212210110121000
4300033110202
511214130131
61131012430
7212325555
oct60172442
925713530
1012645666
117157970
12429a116
132809b57
14197269c
15119bce6
hexc0f522

12645666 has 64 divisors (see below), whose sum is σ = 31248000. Its totient is φ = 3758400.

The previous prime is 12645649. The next prime is 12645667. The reversal of 12645666 is 66654621.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

Its product of digits (51840) is a multiple of the sum of its prime factors (432).

It is a self number, because there is not a number n which added to its sum of digits gives 12645666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12645667) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36060 + ... + 36408.

It is an arithmetic number, because the mean of its divisors is an integer number (488250).

Almost surely, 212645666 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12645666, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15624000).

12645666 is an abundant number, since it is smaller than the sum of its proper divisors (18602334).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12645666 is a wasteful number, since it uses less digits than its factorization.

12645666 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 426 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 12645666 is about 3556.0745211539. The cubic root of 12645666 is about 232.9774579554.

The spelling of 12645666 in words is "twelve million, six hundred forty-five thousand, six hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 61 66 99 122 183 198 297 349 366 549 594 671 698 1047 1098 1342 1647 2013 2094 3141 3294 3839 4026 6039 6282 7678 9423 11517 12078 18117 18846 21289 23034 34551 36234 42578 63867 69102 103653 127734 191601 207306 234179 383202 468358 574803 702537 1149606 1405074 2107611 4215222 6322833 12645666